Question

We can use residual plots to gauge changing variability. The residuals are generally plotted against each predictor variable xj. There is a violation if the variability increases or ______________ over the values of xj.

Answer 1

Residual plots can help determine changing variability in regression analysis. The violation occurs when the variability increases or decreases over the predictor variable values.

Step-by-step explanation:

In statistics, residual plots are used to assess the variability of the residuals, which are the differences between the observed and predicted values in a regression analysis.

Typically, the residuals are plotted against each predictor variable xj.

A violation occurs when the variability of the residuals increases or decreases over the values of xj.

This violation indicates that the assumption of constant variability, known as homoscedasticity, has been violated.